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14443040242131 = 3232199183124977
BaseRepresentation
bin1101001000101100100001…
…0010000111100111010011
31220010202000022022011102020
43102023020102013213103
53343113321300222011
650415012513022523
73020322000312054
oct322131022074723
956122008264366
1014443040242131
114669293761a26
1217531a8b54a43
13809c85478b87
1437d0928bc72b
151a0a6b171006
hexd22c84879d3

14443040242131 has 48 divisors (see below), whose sum is σ = 20244089510400. Its totient is φ = 9158401486080.

The previous prime is 14443040242123. The next prime is 14443040242133. The reversal of 14443040242131 is 13124204034441.

It is a happy number.

It is not a de Polignac number, because 14443040242131 - 23 = 14443040242123 is a prime.

It is a super-2 number, since 2×144430402421312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14443040242092 and 14443040242101.

It is not an unprimeable number, because it can be changed into a prime (14443040242133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578241115 + ... + 578266091.

It is an arithmetic number, because the mean of its divisors is an integer number (421751864800).

Almost surely, 214443040242131 is an apocalyptic number.

14443040242131 is a deficient number, since it is larger than the sum of its proper divisors (5801049268269).

14443040242131 is a wasteful number, since it uses less digits than its factorization.

14443040242131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27056 (or 27033 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 14443040242131 its reverse (13124204034441), we get a palindrome (27567244276572).

The spelling of 14443040242131 in words is "fourteen trillion, four hundred forty-three billion, forty million, two hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 23 69 199 529 597 1587 1831 4577 5493 13731 24977 42113 74931 105271 126339 315813 364369 574471 968599 1093107 1723413 2905797 4970423 8380487 13212833 14911269 25141461 39638499 45732887 114319729 137198661 192751201 342959187 578253603 1051856401 2629353767 3155569203 7888061301 9100844513 24192697223 27302533539 72578091669 209319423799 627958271397 4814346747377 14443040242131